Please answer questions 1 to 25, thanks, have a good day!Mohammed Yaaseen Gomdah
MATH
203
Winter
2016 F
WeBWorK assignment number Practice
Problems
Midterm
W14 is due : 03/04/2016 at 03:00am EST.
The
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for the course contains the syllabus, grading policy and other information.
This ?le is /conf/snippets/setHeader.pg you can use it as a model for creating ?les which introduce each problem set.
The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making
some kind of mistake. Usually you can attempt a problem as many times as you want before the due date. However, if you are
having trouble ?guring out your error, you should consult the book, or ask a fellow student, one of the TA’s or your professor for
help. Don’t spend a lot of time guessing – it’s not very ef?cient or effective.
Give 4 or 5 signi?cant digits for (?oating point) numerical answers. For most problems when entering numerical answers,
you can if you wish enter elementary expressions such as 2
?
3 instead of 8,
sin
(
3
*
pi
/
2
)
instead of 1,
e
?
(
ln
(
2
))
instead of 2,
(
2
+
tan
(
3
))
*
(
4

sin
(
5
))
?
6

7
/
8 instead of 27620.3413, etc. Here’s the
list of the functions
which WeBWorK understands.
You can use the Feedback button on each problem page to send email to the professors.
1.
(1 pt) If
f
(
x
) =
3
x

3
, ?nd
f
0
(
4
)
.
Use this to ?nd the equation of the tangent line to the curve
y
=
3
x

3
at the point
(
4
,
3
.
00000
)
. The equation of this tan
gent line can be written in the form
y
=
mx
+
b
where
m
is:
and where
b
is:
2.
(1 pt) For what values of x is the tangent line of the graph
of
f
(
x
) =
2
x
3
+
9
x
2

25
x
+
6
parallel to the line
y
=

1
x

1
.
4 ? Enter the x values in order,
smallest ?rst, to 4 places of accuracy:
x
1
=
x
2
=
3.
(1 pt) Find the yintercept of the tangent line to
y
=
1
.
3
?
6
+
7
x
at
(
4
,
0
.
222948160685262
)
.
4.
(1 pt) If
f
(
t
) =
?
3
t
4
,
?nd
f
0
(
t
)
.
Find
f
0
(
1
)
.
5.
(1 pt)
Let
f
(
x
) =
?
x

7
?
x
+
7
.
f
0
(
4
) =
6.
(1 pt) If
f
(
x
) =
5
x
?
x
+
6
x
2
?
x
, ?nd
f
0
(
9
)
.
7.
(1 pt) If
f
(
x
) =
7
?
x
(
x
3

8
?
x
+
5
)
, ?nd
f
0
(
x
)
.
Find
f
0
(
4
)
.
8.
(1 pt) Evaluate the limit
lim
x
?
0
sin4
x
9
x
9.
(1 pt) If
f
(
x
) =
tan
x

2
sec
x
?nd
f
0
(
x
)
.
Find
f
0
(
3
)
.
1
Answer